Finding the Third Proportional to 271,958 and 382,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,958 : 382,300.50 = 382,300.50 : x
2. Step 2: Convert to fraction form
   271,958/382,300.50 = 382,300.50/x
3. Step 3: Cross multiply
   271,958x = 382,300.50 × 382,300.50
4. Step 4: Simplify right side
   271,958x = 146,153,672,300.25
5. Step 5: Solve for x
   x = 146,153,672,300.25/271,958
6. Step 6: Final answer
   x = 537,412.66